Other solutions of the tt* equations
with geometric interpretations are those corresponding to
the quantum cohomology of Kähler manifolds (or orbifolds).
It is
implicit in [1]} that all such solutions are
expected to be globally defined.
In the
(very special) case of the tt*-Toda equations, the basic example
is the quantum cohomology of \(P̏^n\) , complex projective space. Here we have
\(k_0=0, k_1=\cdots =k_n=-1\)  and \(m=-\rho \) , and the
solution is indeed globally defined. However, the assumption \(k_i>-1\)  is not satisfied
here, and Theorem REF  does not apply (in fact, \( M^{(0)} \) 
is not diagonalizable). Nevertheless the formula for
the Stokes numbers
in Theorem REF  does apply, and it gives
\(s_i=\binom{n+1}{i}\) .
